Exponents+2C

Fx 29.) zero exponents

a. As the x decrease by 1 the 2^x decreases by half b. 2^0 = 1 c. 2 is half of 1

=__**Manipulating Exponents**__=

__FX-22__ Convert each side of the equation 4⁴=16² to powers of two in order to show that 4⁴ equals 16².
4⁴=16² ↓ ↓ 2x2x2x2 8x2 ↓ 4x2 ↓ 2x2

Solved. 2⁴=2⁴

Calculator Check: 4⁴=256 16²=256

Source: http://www.cpm.org/

=__**Proving Negative Exponents**__=

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__FX-46__ Jim does not understand negative exponents. He thinks that 4¯² is a negative number. Thu volunteers to help him out. She begins with x³/x⁵. "Simplify this two ways," she said says. "First, use the subtraction rule for a division problem with exponents. Second, write out the meaning of x³/x⁵ and simplify." Write out what Thu said to do and then substitute 4 in place of x to convince Jim that 4¯²=1/16.=====

math \frac{x^3}{x^5} = x^{-2} math

math \frac{4^3}{4^5} =\frac{64}{1024} = .0625 =\frac{1}{16} math

Source: http://www.cpm.org/